All categories

3 years ago

Given ABE is an isosceles triangle with ZABE - 100° and AMNP is an isosceles triangle with one base angle measuring 40°. Are

Mathematics

1 answer:

MrMuchimi3 years ago

8 0

Two triangle ABE and MNP are similar by AA criterion

Step-by-step explanation:

Given that ABE is an isosceles Δ with ABE= 100°

this means that some of the other two angles must be =180°-100°=80°

Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.

∠BAC=∠ACB=40°

In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning

the angle measures come out to be 40°,40° and 100°

Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"

You might be interested in

1. What is an equation of the line through (3, 12) with slope = 3?

mafiozo [28]

Answer:

see below

Step-by-step explanation:

We can use point slope form

y - y1 = m(x-x1)

where m is the slope and ( x1,y1) is a point on the line

y-12 = 3(x-12)

If we want it in slope intercept form

Distribute

y-12 = 3x-36

Add 12 to each side

y-12+12 = 3x-36+12

y = 3x-24

8 0

3 years ago

Determine if the following lines are parallel, perpendicular, or neither

Nookie1986 [14]

Parallel
perpendicular
parallel
neither
perpendicular

4 0

3 years ago

If g(x) = -3x + 12, what is the solution set<br> if the domain of gis (-2, 0,2}?

disa [49]

Given:

The function is

$g(x)=-3x+12$

Consider the given domain of g is {-2,0,2}.

To find:

The solution set if the domain of g for the given domain.

Solution:

Domain is the set of input values and range is the set of output value.

We have,

$g(x)=-3x+12$

Domain of g is {-2,0,2}.

For x=-2,

$g(-2)=-3(-2)+12$

$g(-2)=6+12$

$g(-2)=18$

For x=0,

$g(0)=-3(0)+12$

$g(0)=0+12$

$g(0)=12$

For x=2,

$g(2)=-3(2)+12$

$g(2)=-6+12$

$g(2)=6$

Now, the solution set of the given domain of g is

$\{f(-2),f(0),f(2)\}=\{18,12,6\}$

Therefore, the solution set is {18,12,6}.

4 0

3 years ago

Which ordered pair is a solution to this equation?2x + 6y = 10<br>(4, 1)(2, 1)(12, 2)(3, 1)

gizmo_the_mogwai [7]

The correct answer is (2, 1). ( I took the test :) )

5 0

4 years ago

Solve for A.................<br><br> H= A/2

grigory [225]

Step-by-step explanation:

First, multiply each side of the equation by

to eliminate the fraction while keeping the equation balanced:

2×A=2×h2(a+b)

2A=2×h2(a+b)

2A=h(a+b)

Now, divide each side of the equation by

to solve for

while keeping the equation balanced:

2Aa+b=h(a+b)a+b

2Aa+b=h

h=2Aa+b

3 0

3 years ago